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Theorem toSet-subseteq-domri-notin

⊦ kx.toSet ⊆ dom ri ∧ ¬ key ∈ ri → ¬ key ∈ kx

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: gjournal-base, aubifs-inv,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas:
Used spec theorems:
- set-union/node-index/subdef
Used simplifier rules:
- store+set/node-index/Dom
- list+set/key-list-set/toSet-ext